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A problem in combinatorial optimization. Given a set of items with both weight and value, determine the number of each item to include in a collection so that the total weight is at most a given limit and the value of the collection is maximized.

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Adjacent house , dynamic programming problem

I'll just leave a broad hint. Suppose $H(1:n)=[h_1,h_2\ldots,h_n]$ is the list of houses. Suppose that we already know the set of houses to buy for the subarray $H(1:n-1)$. This solution either includ …
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